Let \( f(t) \) be a periodic signal with fundamental period \( T_0>0 \). Consider the signal
\[
y(t) = f(\alpha t), \quad {where} \, \alpha>1.
\]
The Fourier series expansions of \( f(t) \) and \( y(t) \) are given by
\[
f(t) = \sum_{k=-\infty}^{\infty} c_k e^{j \frac{2\pi}{T_0} k t}, \quad y(t) = \sum_{k=-\infty}^{\infty} d_k e^{j \frac{2\pi}{T_0 \alpha} k t}.
\]
Which of the following statements is/are TRUE?
